If the lines are perpendicular, find the value of Hence find whether the lines are intersecting or not.
The equation of the given lines are:
If these lines are perpendicular, then
Now the lines are
The coordinates of any point on first-line are given by:
or
So, coordinates of any point on this line are
The coordinates of any point on the second line are given by:
or
So, coordinates of any point on second line are
If lines intersect then they have a common point. So far some values of we have
and
On solving, we have
The values of do not satisfy the third equation.
Hence, lines do not intersect with each other.